Question

Which sign goes in the circle to make the number sentence true? 4/5+5/8 ○ 1

A) >
B) <
C) Greater than or equal to
D) Less than or equal to​

Answer 1

A

Explanation:

`(4)/(5)` +
`(5)/(8)` we will rewrite each fraction with the common denominator of 40

`(4)/(5)` x
`(8)/(8)` =
`(32)/(40)`

`(5)/(8)` x
`(5)/(5)` =
`(25)/(40)`

`(32)/(40)` +
`(25)/(40)` =
`(57)/(40)`

`(57)/(40)` can be rewritten

`(40)/(40)` +
`(17)/(40)`

1 +
`(17)/(40)`

1
`(17)/(40)` This is larger than 1 so the answer would be A) >

You can also look at the two initial fractions.

1/2 of the first fraction would be 2.5/5. 4/5 is more than 1/2.

1/2 of the second fraction would be 4/8. 5/;8 is more than 1/2.

Since both fractions are more than 1/2, when we add them together, we will get an answer larger than 1.

Helping in the name of Jesus.